If you click the button below, an environment in Binder will be generated to interact with my Jupyter Notebooks.
- The notebook 'hanmonskyalgorithm' contains just one cell. The main functions are HK_diagonal and eHK_diagonal, which compute the Hilbert–Kunz function and Hilbert–Kunz multiplicity of a diagonal hypersurface via the Han–Monsky algorithm.
- The notebook 'volumeestimates' goes through the different proofs of the Watanabe–Yoshida conjecture in low dimension, producing pictures illustrating the comparison between the volume estimates given by Aberbach, Cox-Steib, Enescu, Watanabe, and Yoshida in dimensions 3 through 7, and compares them to the value in characteristic 2 computed in [CR25].